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2007 | Book

Modules with chain conditions Read chapter Read first chapter

Artinian Modules over Group Rings

Authors: Leonid A. Kurdachenko, Javier Otal, Igor Ya. Subbotin

Publisher: Birkhäuser Basel

Book Series : Frontiers in Mathematics

Part of: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

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Table of Contents

Frontmatter
Chapter 1. Modules with chain conditions
Chapter 2. Ranks of groups
Chapter 3. Some generalized nilpotent groups
Chapter 4. Artinian modules and the socle
Chapter 5. Reduction to subgroups of finite index
Chapter 6. Modules over Dedekind domains
Chapter 7. The Kovacs-Newman theorem
Chapter 8. Hartley’s classes of modules
Chapter 9. The injectivity of some simple modules
Chapter 10. Direct decompositions in artinian modules
Chapter 11. On the countability of artinian modules over FC-hypercentral groups
Chapter 12. Artinian modules over periodic abelian groups
Chapter 13. Nearly injective modules
Chapter 14. Artinian modules over abelian groups of finite section rank
Chapter 15. The injective envelopes of simple modules over group rings
Chapter 16. Quasifinite modules
Chapter 17. Some applications: splitting over the locally nilpotent residual
Backmatter
Metadata
Title
Artinian Modules over Group Rings
Authors
Leonid A. Kurdachenko
Javier Otal
Igor Ya. Subbotin
Copyright Year
2007
Publisher
Birkhäuser Basel
Electronic ISBN
978-3-7643-7765-6
Print ISBN
978-3-7643-7764-9
DOI
https://doi.org/10.1007/978-3-7643-7765-6

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